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Finding the Fourth Proportional to 1,411.45, 1,948.77 and 1,079.30

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Solution

The fourth proportional to 1,411.45, 1,948.77 and 1,079.30 is: 1,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.45 : 1,948.77 = 1,079.30 : x
  2. Step 2: Convert to fraction form
    1,411.45/1,948.77 = 1,079.30/x
  3. Step 3: Cross multiply
    1,411.45x = 1,948.77 × 1,079.30
  4. Step 4: Simplify right side
    1,411.45x = 2,103,297.72
  5. Step 5: Solve for x
    x = 2,103,297.72/1,411.45
  6. Step 6: Final answer
    x = 1,490.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.